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Finding the Third Proportional to 824.40 and 1,069.29

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Solution

The third proportional to 824.40 and 1,069.29 is: 1,386.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    824.40 : 1,069.29 = 1,069.29 : x
  2. Step 2: Convert to fraction form
    824.40/1,069.29 = 1,069.29/x
  3. Step 3: Cross multiply
    824.40x = 1,069.29 × 1,069.29
  4. Step 4: Simplify right side
    824.40x = 1,143,391.63
  5. Step 5: Solve for x
    x = 1,143,391.63/824.40
  6. Step 6: Final answer
    x = 1,386.94

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Why These Related Problems?

These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.